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Finding the Fourth Proportional to 20,856.90, 28,782.90 and 11,424.86

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Solution

The fourth proportional to 20,856.90, 28,782.90 and 11,424.86 is: 15,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.90 : 28,782.90 = 11,424.86 : x
  2. Step 2: Convert to fraction form
    20,856.90/28,782.90 = 11,424.86/x
  3. Step 3: Cross multiply
    20,856.90x = 28,782.90 × 11,424.86
  4. Step 4: Simplify right side
    20,856.90x = 328,840,602.89
  5. Step 5: Solve for x
    x = 328,840,602.89/20,856.90
  6. Step 6: Final answer
    x = 15,766.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.